
from math import factorial, pi







def 		_snake_case(    SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__ = 30							)					->       float:




       if not isinstance(_lowercase   ,      (int, float)							):
              raise ValueError("""maclaurin_sin() requires either an int or float for theta"""							)

       if not isinstance(_lowercase   ,      _lowercase							) or accuracy <= 0:
              raise ValueError("""maclaurin_sin() requires a positive int for accuracy"""							)

       lowercase				:	Dict			      = float(_lowercase							)
       lowercase				:	Union[str, Any]			      = theta // (2 * pi)
       theta -= 2 * div * pi
       return sum(
           (-1) ** r * theta ** (2 * r + 1) / factorial(2 * r + 1							) for r in range(_lowercase							)							)







def 		_snake_case(    SCREAMING_SNAKE_CASE__   ,      SCREAMING_SNAKE_CASE__ = 30							)					->       float:




       if not isinstance(_lowercase   ,      (int, float)							):
              raise ValueError("""maclaurin_cos() requires either an int or float for theta"""							)

       if not isinstance(_lowercase   ,      _lowercase							) or accuracy <= 0:
              raise ValueError("""maclaurin_cos() requires a positive int for accuracy"""							)

       lowercase				:	Tuple			      = float(_lowercase							)
       lowercase				:	Optional[int]			      = theta // (2 * pi)
       theta -= 2 * div * pi
       return sum((-1) ** r * theta ** (2 * r) / factorial(2 * r							) for r in range(_lowercase							)							)


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  print(maclaurin_sin(10))
  print(maclaurin_sin(-10))
  print(maclaurin_sin(10, 15))
  print(maclaurin_sin(-10, 15))

  print(maclaurin_cos(5))
  print(maclaurin_cos(-5))
  print(maclaurin_cos(10, 15))
  print(maclaurin_cos(-10, 15))




"""simple docstring"""



from typing import Optional

import pyspark

from .. import Features, NamedSplit
from ..download import DownloadMode
from ..packaged_modules.spark.spark import Spark
from .abc import AbstractDatasetReader







class    __a						( __snake_case							):







				def __init__( self      ,	UpperCAmelCase      ,	UpperCAmelCase = None      ,	UpperCAmelCase = None      ,	UpperCAmelCase = True      ,	UpperCAmelCase = None      ,	UpperCAmelCase = False      ,	UpperCAmelCase = None      ,	UpperCAmelCase = True      ,	UpperCAmelCase = "arrow"      ,	**UpperCAmelCase      ,	):

					'''simple docstring'''






					super().__init__(
					    split=UpperCAmelCase      ,	features=UpperCAmelCase      ,	cache_dir=UpperCAmelCase      ,	keep_in_memory=UpperCAmelCase      ,	streaming=UpperCAmelCase      ,	**UpperCAmelCase      ,	)
					lowerCAmelCase_      							=			load_from_cache_file
					lowerCAmelCase_      							=			file_format
					lowerCAmelCase_      							=			Spark(
					    df=UpperCAmelCase      ,	features=UpperCAmelCase      ,	cache_dir=UpperCAmelCase      ,	working_dir=UpperCAmelCase      ,	**UpperCAmelCase      ,	)







				def      lowerCamelCase_     ( self   ):

					'''simple docstring'''






					if self.streaming:
						return self.builder.as_streaming_dataset(split=self.split   )
					lowerCAmelCase_      							=			None if self._load_from_cache_file else DownloadMode.FORCE_REDOWNLOAD
					self.builder.download_and_prepare(
					    download_mode=UpperCAmelCase      ,	file_format=self._file_format      ,	)
					return self.builder.as_dataset(split=self.split   )